Question

Factor completely. 20x4+8x3+40x2

Answer 1

ANSWER

$4{x}^{2} ( 5{x}^{2} + 2x + 10)$


EXPLANATION

We want to factorize completely,

$20 {x}^{4} + 8 {x}^{3} + 40 {x}^{2}$

We take the highest common factor to obtain,

$4{x}^{2} ( 5{x}^{2} + 2x + 10)$
Now we need to factorize the quadratic trinomial in the parenthesis.

But there are no two factors of
$50$
that will add up to
$2$
Hence the completely factored form of given polynomial is

$4{x}^{2} ( 5{x}^{2} + 2x + 10)$

Answer 2

20x^4 + 8x^3 + 40x^2 
(20x)(20x)(20x)(20x)+(8x)(8x)(8x)+(40)(40)